dirichlet_hdg_post.cc
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#include "rheolef.h"
using namespace rheolef;
using namespace std;
#include "sinusprod_dirichlet.h"
#include "dirichlet_hdg_average.icc"
int main(int argc, char**argv) {
environment rheolef (argc, argv);
Float n, beta;
field uh, lambda_h, sigma_h;
din >> catchmark("n") >> n
>> catchmark("beta") >> beta
>> catchmark("u") >> uh
>> catchmark("lambda") >> lambda_h
>> catchmark("sigma") >> sigma_h;
field bar_uh = dirichlet_hdg_average (uh, lambda_h);
const geo& omega = uh.get_geo();
size_t d = omega.dimension();
size_t k = uh.get_space().degree();
space Xhs (omega, "P"+itos(k+1)+"d"),
Zhs (omega, "P0"),
Yhs = Xhs*Zhs;
trial x(Yhs); test y(Yhs);
auto us = x[0], zeta = x[1];
auto vs = y[0], xi = y[1];
integrate_option iopt;
iopt.invert = true;
form inv_ahs = integrate(dot(grad_h(us),grad_h(vs)) + zeta*vs + xi*us, iopt);
field lhs = integrate (f(d)*vs + xi*bar_uh
+ on_local_sides(dot(sigma_h,normal())*vs));
field xhs = inv_ahs*lhs;
dout << catchmark("n") << n << endl
<< catchmark("beta") << beta << endl
<< catchmark("u") << xhs[0]
<< catchmark("lambda") << lambda_h
<< catchmark("sigma") << sigma_h
<< catchmark("zeta") << xhs[1];
}
Float
see the Float page for the full documentation
field
see the field page for the full documentation
form
see the form page for the full documentation
geo
see the geo page for the full documentation
rheolef::catchmark
see the catchmark page for the full documentation
Definition: catchmark.h:67
rheolef::environment
see the environment page for the full documentation
Definition: environment.h:115
rheolef::integrate_option
see the integrate_option page for the full documentation
Definition: integrate_option.h:125
rheolef::integrate_option::invert
bool invert
Definition: integrate_option.h:168
rheolef::std
Definition: vec_expr_v2.h:402
rheolef::din
idiststream din
see the diststream page for the full documentation
Definition: diststream.h:427
rheolef::dout
odiststream dout(cout)
see the diststream page for the full documentation
Definition: diststream.h:430
space
see the space page for the full documentation
test
see the test page for the full documentation
trial
see the test page for the full documentation
dirichlet_hdg_average.icc
The Poisson problem by the hybrid discontinuous Galerkin method – local averaging function.
dirichlet_hdg_average
field dirichlet_hdg_average(field uh, field lambda_h)
Definition: dirichlet_hdg_average.icc:25
main
int main(int argc, char **argv)
Definition: dirichlet_hdg_post.cc:30
mkgeo_ball.f
int f
Definition: mkgeo_ball.sh:221
mkgeo_ball.d
int d
Definition: mkgeo_ball.sh:154
mkgeo_ball.n
int n
Definition: mkgeo_ball.sh:150
rheolef
This file is part of Rheolef.
Definition: compiler_eigen.h:37
rheolef::dot
rheolef::std enable_if ::type dot const Expr1 expr1, const Expr2 expr2 dot(const Expr1 &expr1, const Expr2 &expr2)
dot(x,y): see the expression page for the full documentation
Definition: vec_expr_v2.h:415
rheolef::grad_h
std::enable_if< details::is_field_convertible< Expr >::value,details::field_expr_v2_nonlinear_terminal_field< typename Expr::scalar_type,typename Expr::memory_type,details::differentiate_option::gradient >>::type grad_h(const Expr &expr)
grad_h(uh): see the expression page for the full documentation
Definition: field_expr_terminal.h:949
rheolef::on_local_sides
std::enable_if< details::is_field_expr_v2_variational_arg< Expr >::value,details::field_expr_quadrature_on_sides< Expr > >::type on_local_sides(const Expr &expr)
on_local_sides(expr): see the expression page for the full documentation
Definition: field_expr_quadrature.h:321
rheolef::integrate
std::enable_if< details::is_field_expr_v2_nonlinear_arg< Expr >::value &&! is_undeterminated< Result >::value, Result >::type integrate(const geo_basic< T, M > &omega, const Expr &expr, const integrate_option &iopt, Result dummy=Result())
see the integrate page for the full documentation
Definition: integrate.h:202
rheolef::itos
std::string itos(std::string::size_type i)
itos: see the rheostream page for the full documentation
rheolef::normal
details::field_expr_v2_nonlinear_terminal_function< details::normal_pseudo_function< Float > > normal()
normal: see the expression page for the full documentation
Definition: field_expr_terminal.h:439
rk::beta
Float beta[][pmax+1]
Definition: runge_kutta_semiimplicit.icc:60
rheolef.h
rheolef - reference manual
sinusprod_dirichlet.h
The sinus product function – right-hand-side and boundary condition for the Poisson problem.